GATE ME 2020 Set 2 — Question 47

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NAT+2 / -0HardBuoyancy & StabilityFluid Properties & StaticsFluid MechanicsUndamped Free VibrationFree VibrationTheory of Machines & Vibrations

Fluid Mechanics → Fluid Properties & Statics → Buoyancy & Stability

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Question

A hollow spherical ball of radius 20 cm20\text{ cm} floats in still water, with half of its volume submerged. Taking the density of water as 1000 kg/m31000\text{ kg/m}^3, and the acceleration due to gravity as 10 m/s210\text{ m/s}^2, the natural frequency of small oscillations of the ball, normal to the water surface is ________ radians/s (round off to 2 decimal places).
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